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Chapter 2: Q. 2.67 (page 68)

In Exercises 2.60-2.71. we have presented some quantitative data sets and specified a grouping method for practicing the concepts. For each data set,

a. determine a frequency distribution

b. obtain a relative-frequency distribution.

c. construct a frequency histogram based on your result from part (a).

d. construct a relative-frequency histogram based on your result

from part (b).

Use limit grouping with a first class of 50-59and a class width of 10.

Short Answer

Expert verified

Part a. The frequency distribution is given as

ClassTallyFrequency
50-59||||||6
60-69|||3
70-79||||||6
80-89|||||||7
90-99|||3

Part b. The relative frequency distribution is given as

ClassFrequencyRelative Frequency
50-596625=0.24
60-693325=0.12
70-796625=0.24
80-897725=0.28
90-993325=0.12
Total251

Part c. The frequency histogram is given as

Part d. The relative frequency histogram is given as

Step by step solution

01

Part (a) Step 1. Given Information

We are given a quantitative data set.

02

Part (a) Step 2. Frequency Distribution

Using limit grouping with a first class of 50-59and a class width of 10, the frequency distribution can be given as

ClassTallyFrequency
50-59||||||6
60-69|||3
70-79||||||6
80-89|||||||7
90-99|||3
03

Part (b) Step 1. Relative frequency distribution

The relative frequency distribution for the given data is given as

ClassFrequencyRelative Frequency
50-596625=0.24
60-693
325=0.12
70-796
625=0.24
80-897725=0.28
90-993325=0.12
Total251
04

Part (c) Step 1. Frequency histogram

The frequency histogram for the frequency distribution can be given as

05

Part (d) Step 1. Relative frequency histogram

The relative-frequency histogram for the relative-frequency distribution can be given as

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Most popular questions from this chapter

For data that are grouped in classes based on more than a single value, lower-class limits (or cut points) are used on the horizontal axis of a histogram for depicting the classes. Classmarks (or midpoints) can also be used, in which case each bar is centered over the mark (or midpoint) of the class it represents. Explain the advantages and disadvantages of each method.

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